536613120 has 144 divisors (see below), whose sum is σ = 1904353920. Its totient is φ = 143087616.

The previous prime is 536613097. The next prime is 536613139. The reversal of 536613120 is 21316635.

536613120 is a `hidden beast` number, since 5 + 36 + 613 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×536613120² = 575907281112268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26797 + ... + 42323.

It is an arithmetic number, because the mean of its divisors is an integer number (13224680).

Almost surely, 2^536613120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952176960).

536613120 is an abundant number, since it is smaller than the sum of its proper divisors (1367740800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

536613120 is a wasteful number, since it uses less digits than its factorization.

536613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15557 (or 15537 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 536613120 is about 23164.9113963339. The cubic root of 536613120 is about 812.6192304711.

Adding to 536613120 its reverse (21316635), we get a palindrome (557929755).

The spelling of 536613120 in words is "five hundred thirty-six million, six hundred thirteen thousand, one hundred twenty".